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Mitosis in Computational Complexity

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2006Publisher:Springer Berlin Heidelberg
Authors: Christian Glaßer; Aduri Pavan; Alan L. Selman; Liyu Zhang 0001;

doi: 10.1007/11750321_4

Mitosis in Computational Complexity

Abstract

This expository paper describes some of the results of two recent research papers [GOP+05, GPSZ05]. The first of these papers proves that every NP-complete set is many-one autoreducible. The second paper proves that every many-one autoreducible set is many-one mitotic. It follows immediately that every NP-complete set is many-one mitotic. Hence, we have the compelling result that every NP-complete set A splits into two NP-complete sets A1 and A2.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
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